Velocity and Speed: Diagrams for Rowing Downstream and Southeastward

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The discussion focuses on calculating a boat's velocity relative to the shore in two scenarios: rowing downstream and rowing southeastward. For the downstream scenario, the boat's velocity aligns with the river's current, which flows east at 3.0 km/h, while the boat's speed is 6.0 km/h. In the southeastward scenario, the boat's velocity should be represented at a 45-degree angle down and to the right, combining both the boat's speed and the river's current. The initial attempts at diagramming these velocities were incorrect, highlighting the need for proper vector representation. Understanding these concepts is crucial for accurately determining the boat's overall velocity in different directions.
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Homework Statement



A boat is placed in a river, which has a current velocity, Vc of 3.0 km/h east, relative to the shore. Relative to the river, the rower can maintain a boat speed, Vb of 6.0 km/h.
A) Draw a diagram that could be used to find the boat's velocity relative to the shore if the boat is being rowed downstream.
B) Draw a diagram where the direction of the boats velocity is relative to the shore southeastward.

Homework Equations



None.

The Attempt at a Solution


A) I have a line going straight down, Vb and a 90 degree turn to the right, Vc.
B) I know it's not right, but the same as above is what I thought.
 
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Neither of your answers are correct.

If the boat is being rowed down stream, that means the boats velocity relative to the water is in the same direction that the river is flowing. And "East" is usually the direction to the right on the page. Southeast will be in a 45 degree diagonal direction down-and-to-the-right.
 

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